A Discretized Approach to W. T. Gowers' Game
V. Kanellopoulos ; K. Tyros
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010), p. 1-16 / Harvested from The Polish Digital Mathematics Library
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We give an alternative proof of W. T. Gowers' theorem on block bases by reducing it to a discrete analogue on specific countable nets. We also give a Ramsey type result on k-tuples of block sequences in a normed linear space with a Schauder basis.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281322 
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V. Kanellopoulos; K. Tyros. A Discretized Approach to W. T. Gowers' Game. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-1-1/